101720105414120 has 64 divisors (see below), whose sum is σ = 235125840882240. Its totient is φ = 39583474560000.

The previous prime is 101720105414117. The next prime is 101720105414129. The reversal of 101720105414120 is 21414501027101.

It is not an unprimeable number, because it can be changed into a prime (101720105414129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117376241 + ... + 118239680.

It is an arithmetic number, because the mean of its divisors is an integer number (3673841263785).

Almost surely, 2^{101720105414120} is an apocalyptic number.

101720105414120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101720105414120 is an abundant number, since it is smaller than the sum of its proper divisors (133405735468120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101720105414120 is a wasteful number, since it uses less digits than its factorization.

101720105414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235616226 (or 235616222 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 29.

The spelling of 101720105414120 in words is "one hundred one trillion, seven hundred twenty billion, one hundred five million, four hundred fourteen thousand, one hundred twenty".